log_{25}(x+2)^{12}-log_5\nthroot{4}{x+2}=1

log_3(x+y)-log_3(y-3)=1

3^{x}=3^1\cdot27^{y}

log_{36}(x+14)^{10}-log_6\nthroot{4}{x+14}=1

5log2+ylog4=xlog2

xlog16-2ylog64=\frac{1}6log16777216

log_3(x+y)-log_3(y-10)=1

3^{x}=3^4\cdot27^{y}

log_{4}(x+7)^{4}-log_2\nthroot{7}{x+7}=1

log_{4}(x+8)^{2}-log_2\nthroot{7}{x+8}=1

log_5(x+y)-log_5(y-7)=1

5^{x}=5^5\cdot125^{y}

log_{5}(x)-log_{5}(y)=3

log_{5}(3\cdot x)+log_{5}(y+22)=5+log_{5}(9)

12log5+ylog25=xlog5

xlog4-2ylog8=\frac{1}4log256

log_{4}(x+15)^{10}-log_2\nthroot{3}{x+15}=1

5log3+ylog9=xlog3

xlog25-2ylog125=\frac{1}5log9765625

log_{9}(x+6)^{2}-log_3\nthroot{6}{x+6}=1

6log5+ylog25=xlog5

xlog9-2ylog27=\frac{1}4log6561

5log3+ylog9=xlog3

xlog25-2ylog125=\frac{1}3log15625

log_7(x+y)-log_7(y-3)=1

7^{x}=7^6\cdot49^{y}

log_{36}(x+16)^{8}-log_6\nthroot{6}{x+16}=1

log_2(x+y)-log_2(y-1)=1

2^{x}=2^1\cdot4^{y}

log_{2}(x)-log_{2}(y)=2

log_{6}(3\cdot x)+log_{6}(y+321)=4+log_{6}(9)

log_{3}(x)-log_{3}(y)=2

log_{6}(4\cdot x)+log_{6}(y+21)=3+log_{6}(12)

log_{2}(x)-log_{2}(y)=2

log_{6}(3\cdot x)+log_{6}(y+51)=3+log_{6}(9)

log_{2}(x)-log_{2}(y)=3

log_{6}(4\cdot x)+log_{6}(y+970)=5+log_{6}(8)

log_{3}(x)-log_{3}(y)=2

log_{9}(2\cdot x)+log_{9}(y+727)=4+log_{9}(4)

9log2+ylog4=xlog2

xlog9-2ylog27=\frac{1}2log81